Remembrance of Things Past
arXiv:2305.17641 · doi:10.1007/JHEP08(2023)124
Abstract
Nonlinear sigma models on de Sitter background have proved a useful prototype for quantum gravity in summing the large logarithms which arise from loop corrections. We consider a model whose evolution is described, at leading logarithm order, by the trace of the coincident, doubly differentiated scalar propagator. An analytic approximation for this quantity on an arbitrary expansion history is applied to generalize the resummed de Sitter result to any cosmological background which has experienced primordial inflation. In addition to analytic expressions, we present explicit numerical results for the evolution in a plausible expansion history. The large scales of primordial inflation are transmitted to late times.
arXiv comment13 pages, 5 figures, uses LaTeX 2e, Version 2 revised for publication with 5 figures and length of 12 pages
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